Except it still doesn't make sense. The Morag Tong was headquartered in Vivic, there is nothing left there now, when the Moon continued on its course it wiped out the entire city. The leadership is dead, most of the members are dead, the Morag Tong simply doesn't exist anymore. Besides even if they did exist , what purpose would they have considering that the houses are gone and that their government that allowed their existence is gone? The Morag Tong was not some Assassins Guild, they only accepted legally approved contracts and being outlawed everywhere besides Morrowind would make moving to Skyrim a big issue.
Good point, I just haven't read that much into all of it, I just came up with the idea off the top of my head.